Spread the loveTeaching students to identify graphs of continuous functions is an important concept in mathematics. Understanding the continuity of a function can help students make predictions about ...

Stephen Demko, A Superposition Theorem for Bounded Continuous Functions, Proceedings of the American Mathematical Society, Vol. 66, No. 1 (Sep., 1977), pp. 75-78 ...

Discover the size function of sets with comprehensive proofs in general topology. Explore decomposition, continuity, and classification of discontinuity points.

Brouwer's continuity principle states that all functions from infinite sequences of naturals to naturals are continuous, that is, for every sequence the result depends only on a finite initial segment ...

Quantum annealing (QA) can be competitive to classical algorithms in optimizing continuous-variable functions when running on appropriate hardware, show researchers from Tokyo Tech. By comparing ...

This paper mainly makes research on fractal dimension of fractal functions. We give basic estimation of fractal dimension, such as Box dimension and Hausdorff dimension, of fractional calculus of ...